Answer: The correct option is
(C) y = −8 ÷ 2; y = −4.
Step-by-step explanation: We are given to select the correct steps that shows the solution to the following equation :
\(2y=-8~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)
We know that
the solution to the equation \(ax=b,~~\textup{a,b are real numbers}\) is given by
\(ax=b\\\\\Rightarrow x=b\div a.\)
Therefore, the solution of equation (i) is as follows :
\(2y=-8\\\\\Rightarrow y=-8\div 2\\\\\Rightarrow y=\dfrac{-8}{2}\\\\\Rightarrow y=-4.\)
Thus, (C) is the correct option.